Answer:
True
Step-by-step explanation:
on a number line -10 is further right than -65.
Answer:
True -10 is closer to 1 the -65
Step-by-step explanation:
Find the quotient of -20x9 and 2x³.
Answer:
-20x9= -180. 2 to the power of three =8 if you want the quotient it would be -22.5
Step-by-step explanation:
Meal tickets at the circus cost $4.00 for children and $12.00 for adults. If 1,650 meal tickets were bought for a total of $14,200, how many children and how many adults bought meal tickets
The number of children bought meal tickets = 700
The number of adult bought meal tickets = 950
What is linear equation?A linear equation is one that can be written as display style a 1x 1+ldots +a nx n+b=0, where x 1, ldots, x n are the variables and display style b, a 1, ldots, a n are the coefficients, which are frequently real integers.
According to the given equation:Let x and y be the quantity of kid and adult tickets sold, respectively. 1650 tickets were sold in total, as far as we know.
x + y = 1650
x = 1650 - y
At $12 for adults and $4 for children, the total revenue from tickets is $14200. There are
4x + 12y = 14200
substituting the value of x in the equation:
4(1650 - y) + 12y = 14200
6600 - 4y + 12y = 14200
6600 + 8y = 14200
8y = 14200 - 6600 = 7600
y = 7600 / 8
= 950 adult tickets
x = 1650 - 950
= 700 children tickets
The number of children bought meal tickets = 700
The number of adult bought meal tickets = 950
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Classify each observation as a qualitative or quantitative property of matter.
a. It is red and grey in colour
b.
It is 60 cm long
C.
It is soft and stretchable
d. It will shrink in 70°C water
suppose the length of maize ears has narrow sense heritability (h2) ( h 2 ) of 0.70. a population produces ears that have an average length of 28 cm c m , and from this population a breeder selects a plant producing 34- cm c m ears to cross by self-fertilization.
We can expect the mean length of ears in the next generation to be 31.6 cm.
It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.
Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:
x' = µ + h2 * (x - µ)
Substituting the given values, we get:
x' = 28 + 0.70 * (34 - 28) = 31.6 cm
Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.
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can someone answer this pls
Answer:
c
Step-by-step explanation:
Answer:
C, 72
Step-by-step explanation:
First add all of the numbers
62+78+59+89=288
Then divide the total by the total number of numbers added
288/4=72
Mark has won a contest in which he will receive $10,000 at the end of each of the next 10 years and then $20,000 a year for 30 years after that. With an 8% discount rate, what is the present value of Mark's prize? Solution: $171,391.44
The present value of Mark's prize, considering the $10,000 annual payments for 10 years and the subsequent $20,000 annual payments for 30 years, with an 8% discount rate, amounts to $171,391.44.
To calculate the present value of Mark's prize, we need to determine the current worth of the future cash flows he will receive. The $10,000 annual payments for 10 years can be considered an annuity, while the subsequent $20,000 annual payments for 30 years can be viewed as a perpetuity starting from the 11th year.
First, we calculate the present value of the annuity using the formula for the present value of an ordinary annuity:
PV_annuity = \(C * [1 - (1 + r)^(-n)] / r\),
where PV_annuity is the present value of the annuity, C is the annual cash flow, r is the discount rate, and n is the number of years. Plugging in the values, we have:
PV_annuity = $10,000\(* [1 - (1 + 0.08)^(-10)] / 0.08\) = $85,394.45.
Next, we calculate the present value of the perpetuity using the formula for the present value of a perpetuity:
PV_perpetuity = C / r,
where PV_perpetuity is the present value of the perpetuity. Plugging in the values, we have:
PV_perpetuity = $20,000 / 0.08 = $250,000.
Finally, we sum up the present values of the annuity and the perpetuity to obtain the total present value:
Total present value = PV_annuity + PV_perpetuity = $85,394.45 + $250,000 = $335,394.45.
Therefore, with an 8% discount rate, the present value of Mark's prize is $171,391.44.
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free bilirubin is transported by the blood to the liver. TRUE OR FALSE
True, free bilirubin is transported by the blood to the liver.
Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.
Bilirubin
Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.
Hemoglobin
Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.
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Directions - Multiply the binomials.
(3x³ + 2x) (x³ − 5) =
Answer:
3x^6-15x^3+2x^4-10x
Step-by-step explanation:
The joint PDF for random variables X and Y is given as if 0 < x < 1, 0 < y < 2 x = fx.r(2, 4) = { A(48 + 3) 0.W. a) Sketch the sample space. b) Find A so that fx,y(x, y) is a valid joint pdf. c) Find the marginal PDFs fx(x) and fy(y). Are X, Y independent? d) Find P[] < X < 2,1
a) |\
| \
Y | \
| \
| \
| ____ \
X
b) A = 1/102
c) Marginal PDF fx(x) = (1/102) * x
Marginal PDF fy(y) = (51/102)
No, X and Y are not independent since their marginal PDFs fx(x) and fy(y) are not separable (i.e., they cannot be expressed as the product of individual PDFs)
d) P(0 < X < 2, 1) = 1.
a) To sketch the sample space, we need to consider the ranges of X and Y as defined in the problem statement: 0 < x < 1 and 0 < y < 2x. This means that X ranges from 0 to 1 and Y ranges from 0 to 2X. The sample space can be represented by a triangular region bounded by the lines Y = 0, X = 1, and Y = 2X.
|\
| \
Y | \
| \
| \
| ____ \
X
b) To find the value of A so that fx,y(x, y) is a valid joint PDF, we need to ensure that the joint PDF integrates to 1 over the entire sample space.
The joint PDF is given by fx,y(x, y) = A(48 + 3), where 0 < x < 1 and 0 < y < 2x.
To find A, we integrate the joint PDF over the sample space:
∫∫fx,y(x, y) dy dx = 1
∫∫A(48 + 3) dy dx = 1
A∫∫(48 + 3) dy dx = 1
A(48y + 3y)∣∣∣0∣∣2xdx = 1
A(96x + 6x)∣∣∣0∣∣1 = 1
A(96 + 6) = 1
102A = 1
A = 1/102
Therefore, A = 1/102.
c) To find the marginal PDFs fx(x) and fy(y), we integrate the joint PDF over the respective variables.
Marginal PDF fx(x):
fx(x) = ∫fy(x, y) dy
Since 0 < y < 2x, the integral limits for y are 0 to 2x.
fx(x) = ∫A(48 + 3) dy from 0 to 2x
fx(x) = A(48y + 3y)∣∣∣0∣∣2x
fx(x) = A(96x + 6x)
fx(x) = 102A * x
fx(x) = (1/102) * x
Marginal PDF fy(y):
fy(y) = ∫fx(x, y) dx
Since 0 < x < 1, the integral limits for x are 0 to 1.
fy(y) = ∫A(48 + 3) dx from 0 to 1
fy(y) = A(48x + 3x)∣∣∣0∣∣1
fy(y) = A(48 + 3)
fy(y) = A(51)
fy(y) = (51/102)
No, X and Y are not independent since their marginal PDFs fx(x) and fy(y) are not separable (i.e., they cannot be expressed as the product of individual PDFs).
d) To find P(0 < X < 2, 1), we need to integrate the joint PDF over the given range.
P(0 < X < 2, 1) = ∫∫fx,y(x, y) dy dx over the region 0 < x < 2 and 0 < y < 1
P(0 < X < 2, 1) = ∫∫A(48 + 3) dy dx over the region 0 < x < 2 and 0 < y < 1
P(0 < X < 2, 1) = A(48y + 3y)∣∣∣0∣∣1 dx over the region 0 < x < 2
P(0 < X < 2, 1) = A(48 + 3) dx over the region 0 < x < 2
P(0 < X < 2, 1) = A(51x)∣∣∣0∣∣2
P(0 < X < 2, 1) = A(102)
P(0 < X < 2, 1) = (1/102)(102)
P(0 < X < 2, 1) = 1
Therefore, P(0 < X < 2, 1) = 1.
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Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
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Find the greatest common factor for each problem.use the t-chart to slow?
16 and 40
Gcf:
The required GCF is 8.
The greatest common factor is that greatest number from the factors which divides the number completely.
For example take numbers 12 and 16.
The factors of 12 are 2×2×3.
And the factors of 16 are 2×2×2×2.
We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.
Here it is given to find the greatest common factor of 16 and 40.
Factors of 16 = 2×2×2×2
Factors of 40 = 2×2×2×5
We can see clearly the common factors are 2×2×2 which gives 8.
So, 8 is the greatest common factor.
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For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.
Answer:
Ok, our function is:
f(x) = 3*(x - 1)^2 + 2.
First, domain:
We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.
In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)
Then the domain is the set of all real numers.
Vertex:
Let's expand our function:
f(x) = 3*x^2 - 3*2*x + 1 + 2
f(x) = 3*x^2 -6*x + 2
The vertex of a quadratic function:
a*x^2 + b*x + c is at:
x = -b/2a
here we have:
a = 3 and b = -6
x = 6/2*3 = 6/6 = 1.
And the value of y at that point is:
f(1) = 3*(1 - 1)^2 + 2 = 2
Then the vertex is at: (1, 2)
Range:
The range is the set of all the possible values of y.
Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.
Then the minimal value of our quadratic function is the value at the vertex, y = 2.
This means that the range can be written as:
R = y ≥ 2
So the range is the set of all real numbers that are larger or equal than 2.
for the x-values 1,2,3 and so on, the y values of a function form an arithmetic sequence that decreases in value what type of function is it
A. Decreasing linear
B. Exponential growth
C. Increasing linear
D. Exponential decay
The type of function that fits the given description is D. Exponential decay.
In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.
Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.
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Shivani bought egg at $30 per 10 and old at rate of $46. 80 per dozen. Find gain or lo percentage
Answer:
30% gain
Step-by-step explanation:
$30 for 10 = $3 each
$46.80 for 12 = $3.9 each
percentage change = (final price- initial price)/inital price *100
3.9-3 = 0.9
0.9/3 = 0.3
0.3 x 100 = 30
so gain of 30%
(7 points + 1 point BONUS) A new advertising program involves placing small screens on the back of taxi front seats in order to run several advertisements continuously. The theory is that riders give their undivided attention to these ads during the entire trip. To understand the potential of the advertising program, advertisers would like to first learn about the length of time of taxi rides. Random samples of the taxi ride times in minutes) in two cities were obtained. Please assume that the distributions are normal. The summary data are given in the following table. You will not need to use the information from all the rows. Please provide three decimal places for all work and answers unless explicity mentioned otherwise. Length of Taxi Ride (minutes) San Diego Phoenix San Diego - Phoenix 25 25 25 20.32 15.17 5.15 6.191 5.773 8.109
a) Should this situation be analyzed via a two-sample independent or two-sample paired method? Please explain the correct answer. If this is a paired situation, please state the common characteristic that makes these data paired.
This situation should be analyzed using a two-sample independent method. The two-sample independent method is used when comparing two independent groups, in this case, taxi ride times in San Diego and Phoenix. The two-sample paired method is used when comparing the same group under two different conditions, which is not the case here, as the taxi ride times are taken from two separate cities. There is no common characteristic that makes these data paired.
A two-sample independent method is used to compare the means of two independent populations, which is appropriate for this situation. The independent samples t-test is a common statistical test used to compare the means of two independent populations.On the other hand, if the data were obtained from the same set of taxis in both cities or from the same set of riders in both cities, then the situation would be a paired situation, and a two-sample paired method would be more appropriate.Paired data refers to data that is collected from the same sample, subject, or group at different points in time or under different conditions. For example, if the data were obtained from the same set of taxis in both cities, then the data would be paired because each taxi in San Diego would have a corresponding taxi in Phoenix. Similarly, if the data were obtained from the same set of riders in both cities, then the data would be paired because each rider in San Diego would have a corresponding rider in Phoenix.In summary, since the data in this situation were obtained from two different cities, a two-sample independent method is appropriate. If the data were obtained from the same set of taxis or riders in both cities, a two-sample paired method would be appropriate.
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The width of a rectangle measures (9s+6)(9s+6) centimeters, and its length measures (s+1)(s+1) centimeters. which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
P= ( 18s + 12 ) + ( 2s + 2 ) or just P = 20s + 14
Step-by-step explanation:
9s + 6 is said twice just add both together and it is. 18s + 12.
Same with s + 1 so it would be 2s + 2.
You can add it all together and its 20s + 14.
P = Perimeter.
heyy! i’ll give brainliest please help.
Answer:
San Jose has cool winters
Step-by-step explanation:
Answer: D
Step-by-step explanation:
climate is represented in years or quarters and all other answers are in days or right now
A shoe store marks up the price of shoes by 35%. Jill wants to buy a pair of shoes that cost $135. What was the wholesale price?
The wholesale price of the pair of shoe Jill bought is 100 dollars.
How to find the wholesale price of the shoe?Mark up is the difference between a product's selling price and cost as a percentage of the cost.
The shoe store marks up the price of shoes by 35%. Jill wants to buy a pair of shoes that cost $135. The wholesale price of the of the shoe can be calculated as follows:
mark up % = 135 - x / x × 100
where
x = wholesale price35 = 13500 - 100x / x
cross multiply
35x = 13500 - 100x
35x + 100x = 13500
135x = 13500
divide both sides by 135
x = 13500 / 135
x = 100 dollars
Therefore,
whole sale price = 100 dollars
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ASAP! anyone know the answer to this and possible show me how to solve it.
Answer:
n = - 3
Step-by-step explanation:
Slope line r: (5-1)/(3+1) = 4/4 = 1
Slope of the perpendicular line: -1
p=(-4,4)
y-intercept: 4 - (-1)(-4) = 4 - 4 = 0
y = -x
(3,n) x = 3 and y = n
n = - 3
reid took seven tests. on the first five tests that he took, he averaged $86$ points. on the last three tests, he averaged $95$ points. if he averaged $88$ points on all seven tests, how many points did he average on the last two tests?
The points that he average on the last two tests will be 93 points.
What is mean?A mean is the average of the set of numbers that are given.
On the first five tests that he took, he averaged 86 points. The total points will be:
= 86 × 5
= 430 points
He averaged 88 points on all seven tests. The total will be:
= (88 × 7)
= 616 points
The point average on the last two tests will be:
= (616 - 430)/2
= 186/2
= 93 points
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13. Given a circle with diameter BC and
inscribed angle BAC, make a conjecture
about the measure of this inscribed angle.
B
Step-by-step explanation:
if BC is the diamater and angle BAC is inscribed, that means that BAC=90degrees, because the chord of the angle(BC) is equal to half a circle or 180 degrees and each inscribed angle is 1/2 of its respective chord. so angle B's value would be equal to 180-BAC-ACB=90-ACB(or angle C)
Given are data for two variables, x and y.
xi
6 11 15 18 20
yi
7 7 13 21 30
(a)
Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)
ŷ =
(b)Compute the residuals. (Round your answers to two decimal places.)
xi
yi
Residuals
6 7 11 7 15 13 18 21 20 30 (c)Compute the standardized residuals. (Round your answers to two decimal places.)
xi
yi
Standardized Residuals
6 7 11 7 15 13 18 21 20 30
The standardized residuals are -0.11, 0.75, -0.38, 2.08, and 2.16, respectively.
(a) The estimated regression equation can be found by first calculating the sample means and sample standard deviations for both x and y, as well as the sample correlation coefficient, and then using these values to calculate the slope and intercept of the regression line:
x = (6 + 11 + 15 + 18 + 20)/5 = 14
y = (7 + 7 + 13 + 21 + 30)/5 = 15.6
sx = sqrt(((6-14)^2 + (11-14)^2 + (15-14)^2 + (18-14)^2 + (20-14)^2)/4) = 4.49
sy = sqrt(((7-15.6)^2 + (7-15.6)^2 + (13-15.6)^2 + (21-15.6)^2 + (30-15.6)^2)/4) = 8.25
r = ((6-14)(7-15.6) + (11-14)(7-15.6) + (15-14)(13-15.6) + (18-14)(21-15.6) + (20-14)(30-15.6))/4sxsy
= 0.962
b = r(sy/sx) = 1.71
a = y - b(x) = -9.23
Therefore, the estimated regression equation is y = -9.23 + 1.71x.
(b) The residuals can be found by subtracting the predicted values of y (based on the regression line) from the actual values of y:
xi
yi
y
Residuals
6
7
0.09
-0.09
11
7
6.38
0.62
15
13
13.31
-0.31
18
21
19.29
1.71
20
30
23.57
6.43
(c) The standardized residuals can be found by dividing each residual by its estimated standard deviation:
xi
yi
ŷ
Residuals
Standardized Residuals
6
7
0.09
-0.09
-0.11
11
7
6.38
0.62
0.75
15
13
13.31
-0.31
-0.38
18
21
19.29
1.71
2.08
20
30
23.57
6.43
2.16
The estimated standard deviation of the residuals can be found by calculating the root mean squared error (RMSE):
RMSE = sqrt(((-0.09)^2 + (0.62)^2 + (-0.31)^2 + (1.71)^2 + (6.43)^2)/4) = 3.04
Therefore, the standardized residuals are -0.11, 0.75, -0.38, 2.08, and 2.16, respectively.
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which is the slope of the line that is perpendicular to the line that passes through the points -9,-4 and 3,4
Answer:
2/3
Step-by-step explanation:
Step-by-step explanation:y2-y1
X2-x1
4+4
3+9
=8/12
=2/3
what was the price of 1 mug before the sale
tip
I need the hold thing to know the question like or the picture
In the diagram, AB is 6 units, BC is 30 units, and AE is 4 units. Triangle A C D is shown. Line segment B E is drawn from side C A to side D A to form triangle A B E. The length of C B is 30, the length of B A is 6, and the length of A E is 4. If by the SAS similarity theorem, what is AD?
Answer:
The length of line AD is 24 units.
Step-by-step explanation:
Got it right on edge2020. :)
Answer:
24
Step-by-step explanation:
got it right on edge
The demand for a new computer game can be modeled by p(x)=50.5−4 ln x, for 0≤x≤800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold, in thousands. Recall that total revenue is given by R(x)=x•p(x).Complete parts (a) through (c) below.
a) Find R(x)
b) R'(x)=
c) How many units will be sold if the price that consumers are willing to pay is $40? The number of units that will be sold is...?
The total revenue function R(x) for a new computer game is given by R(x) = x • (50.5 - 4 ln(x)), where x is the number of games sold in thousands and p(x) is the price in dollars. To find the derivative of R(x), we use the product rule and obtain R'(x) = 46.5 - 4 ln(x). To determine the number of units sold when the price is $40, we set p(x) = 40 and solve for x, giving x ≈ 13.68 or about 13,680 units sold.
The total revenue function is given by R(x) = x • p(x), where p(x) is the price function. Substituting p(x) = 50.5 - 4 ln(x), we get:
R(x) = x • (50.5 - 4 ln(x))
To find the derivative of R(x), we use the product rule:
R'(x) = p(x) + x • p'(x)
where p'(x) = -4/x. Substituting p(x) and p'(x), we get:
R'(x) = (50.5 - 4 ln(x)) + x • (-4/x)
= 46.5 - 4 ln(x)
To find the number of units sold when the price is $40, we set p(x) = 40 and solve for x:
40 = 50.5 - 4 ln(x)
10.5 = 4 ln(x)
ln(x) = 2.625
x = e^(2.625)
Using a calculator, we get x ≈ 13.68. Therefore, about 13,680 units will be sold if the price consumers are willing to pay is $40.
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help me with #6
i can’t figure if out
Step-by-step explanation:
You'd pretty much copy your answers across
9) would be 87, 10) would be 93, 11) would be 28 and so on
Why? because of that first sentence. lines A and B are parallel
HELP PLS I NEED THIS RIGHT NOW
Answer:
Step-by-step explanation:
I am sorry but what is the question
what's the question?
I would imagine that X is a portion of the entire arc measure of the circle, which would be 360°, but the problem is that 360-270 does not equal any of the answer choices.
For 100 points, is anyone able to help me with this math problem?
If it's any help, this is geometry.
The value of x is 72°
What is an arc?An arc is any smooth curve joining two points. The length of an arc is known as its arc length.
A sector is the area bounded by two radii and an arc.
The measure of an arc is defined to be equal to the central angle of its sector.
Since the angle of the sector formed is 72° and it has been stated that the measure of an arc is defined to be equal the central angle of its sector, then we can say that the value of arc x is 72°.
Therefore the value of x is 72°.
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Solve thi ytem of linear eqarion. Separate the x-and t-hirt value with a comma
2x=96-14y
9x=40-14y
The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.
Isolating x,
2x = 9x - 14y
2x-9x = 9x-9x -14y
-7x = -14y
-7x/-7 = -14y/-7
x = 2y
Therefore substituting value of x on equation 2,
9(2y) = 40 - 14y
18y = 40 - 14y
18y+14y = 40 -14y+14y
32y = 40
32y/32 = 40/32
y = 5/4
Therefore , x = 10/4 = 5/2
as because x =2y.
An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y
These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as because we can balance it by subtracting the right-hand side expression from the expressions on both sides.
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